7661795700 has 288 divisors, whose sum is σ = 24887296000. Its totient is φ = 1807142400.

The previous prime is 7661795641. The next prime is 7661795707. The reversal of 7661795700 is 75971667.

It is a happy number.

It is a super-2 number, since 2×7661795700² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7661795700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661795707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15354051 + ... + 15354549.

Almost surely, 2^7661795700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661795700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443648000).

7661795700 is an abundant number, since it is smaller than the sum of its proper divisors (17225500300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7661795700 is a wasteful number, since it uses less digits than its factorization.

7661795700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The square root of 7661795700 is about 87531.6839778603. The cubic root of 7661795700 is about 1971.4095489058.

The spelling of 7661795700 in words is "seven billion, six hundred sixty-one million, seven hundred ninety-five thousand, seven hundred".